Selected Topics in Convex Geometry

* Preface to the Polish Edition

* Preface to the English Edition

* Introduction

Part I:

* Metric Spaces

* Subsets of Euclidean Space

* Basic Properties of Convex Sets

* Transformations of the Space Kⁿ of Compact Convex Sets

* Rounding Theorems

* Convex Polytopes

* Functionals on the Space Kⁿ...The Steiner Theorem

* The Hadwiger Theorems

* Applications of the Hadwiger Theorems

Part II:

* Curvature and Surface Area Measures

* Sets with Positive Reach...Convexity Ring

* Selectors for Convex Bodies

* Polarity

Part III:

* Star Sets...Star Bodies

* Intersection Bodies

* Selectors for Star Bodies

* Exercises to Part I

* Exercises to Part II

* Exercises to Part III

* References

* List of Symbols

* Index